Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications
This paper is aimed at studying the uniqueness of coincidence best proximity point for ϑ,α+,g-proximal contractions in complete Branciari metric space. Throughout this article, discontinuity of the Branciari metric space is used and we obtained the desired results without assuming it as a continuous...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4126025 |
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| _version_ | 1849468278586474496 |
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| author | Naeem Saleem Manuel De la Sen Sadia Farooq |
| author_facet | Naeem Saleem Manuel De la Sen Sadia Farooq |
| author_sort | Naeem Saleem |
| collection | DOAJ |
| description | This paper is aimed at studying the uniqueness of coincidence best proximity point for ϑ,α+,g-proximal contractions in complete Branciari metric space. Throughout this article, discontinuity of the Branciari metric space is used and we obtained the desired results without assuming it as a continuous. Some examples are provided to validate the results proved herein. As an application, we derive the best proximity point results in the setup of complete Branciari metric space endowed with graph. Further, our results extend and generalize the existing ones in literature. |
| format | Article |
| id | doaj-art-f71d731fa33b4225aa4acb6c41f98e7b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f71d731fa33b4225aa4acb6c41f98e7b2025-08-20T03:25:53ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/41260254126025Coincidence Best Proximity Point Results in Branciari Metric Spaces with ApplicationsNaeem Saleem0Manuel De la Sen1Sadia Farooq2Department of Mathematics, University of Management and Technology, Lahore, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644, Bilbao, Barrio Sarriena, 48940 Leioa, SpainDepartment of Mathematics, University of Management and Technology, Lahore, PakistanThis paper is aimed at studying the uniqueness of coincidence best proximity point for ϑ,α+,g-proximal contractions in complete Branciari metric space. Throughout this article, discontinuity of the Branciari metric space is used and we obtained the desired results without assuming it as a continuous. Some examples are provided to validate the results proved herein. As an application, we derive the best proximity point results in the setup of complete Branciari metric space endowed with graph. Further, our results extend and generalize the existing ones in literature.http://dx.doi.org/10.1155/2020/4126025 |
| spellingShingle | Naeem Saleem Manuel De la Sen Sadia Farooq Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications Journal of Function Spaces |
| title | Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications |
| title_full | Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications |
| title_fullStr | Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications |
| title_full_unstemmed | Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications |
| title_short | Coincidence Best Proximity Point Results in Branciari Metric Spaces with Applications |
| title_sort | coincidence best proximity point results in branciari metric spaces with applications |
| url | http://dx.doi.org/10.1155/2020/4126025 |
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